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Simplifying 2(7x + 5) = 4(9x + -3) Reorder the terms: 2(5 + 7x) = 4(9x + -3) (5 * 2 + 7x * 2) = 4(9x + -3) (10 + 14x) = 4(9x + -3) Reorder the terms: 10 + 14x = 4(-3 + 9x) 10 + 14x = (-3 * 4 + 9x * 4) 10 + 14x = (-12 + 36x) Solving 10 + 14x = -12 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 10 + 14x + -36x = -12 + 36x + -36x Combine like terms: 14x + -36x = -22x 10 + -22x = -12 + 36x + -36x Combine like terms: 36x + -36x = 0 10 + -22x = -12 + 0 10 + -22x = -12 Add '-10' to each side of the equation. 10 + -10 + -22x = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -22x = -12 + -10 -22x = -12 + -10 Combine like terms: -12 + -10 = -22 -22x = -22 Divide each side by '-22'. x = 1 Simplifying x = 1
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